Maybe this is a stupid question, but in Minna no Nihongo it says to omit だ when giving a positive answer to a question.
Question: こんばんひま?
Answer: うん、ひま。
But it is not explained if one can omit だ when answering this way:
Example 1
Question: あなたはにほんじん?
Answer: ううん、ちゅうごくじん (だ?)。
Example 2
Question: あなたのしゅみはなに?
Answer: にほんご (だ?)。
Do I have to put だ at the end of these two answers or should I omit it?